FRACTIONS STAGE 3 ASSESSMENT TASK 1 - SHARING PIKELETS, YEAR 5

Strand Number
Substrand Fractions
Stage 3
Year 5
Point-in-time Term 3
Learning experience Pikelet Sharing problem
How would we share 3 pikelets among 4 people? How would we share 5 pikelets among 4 people? Draw and explain your answer.
Foundation Statement They (students) compare, order and perform calculations with simple fractions, decimals and percentages and apply the four operations to money in real-life situations.

Students ask questions and undertake investigations, selecting appropriate technological applications and problem solving strategies. They use mathematical terminology and some conventions and they give valid reasons when comparing and selecting from possible solutions, making connections with existing knowledge and understanding.
Outcome / key ideas NS3.4 Compares, orders and calculates with decimals, simple fractions and simple percentages.

Key Ideas
Model, compare and represent commonly used fractions (those with denominators 2, 3, 4, 5, 6, 8, 10, 12 and 100) Find equivalence between thirds, sixths and twelfths
Express a mixed numeral as an improper fraction and vice versa
Assessment strategy/
Assessment criteria

Assessment strategy:
The teacher:
• observes students completing the task
• listens to students’ explanations
• analyses student work sheet and written explanations

Assessment criteria
:
The student:
• demonstrates understanding of halves and quarters
• records halves and quarters as equal shares
• explains how the items were shared equally
• uses fraction notation

Work samples and comments

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FRACTIONS STAGE 3 ASSESSMENT TASK 1 - SHARING PIKELETS, YEAR 6

Strand Number
Substrand Fractions
Stage 3
Year 6
Point-in-time Term 3
Learning experience Pikelet Sharing problem
How would we share 3 pikelets among 4 people? How would we share 5 pikelets among 3 people? Draw and explain your answer
Foundation Statement They (students) compare, order and perform calculations with simple fractions, decimals and percentages and apply the four operations to money in real-life situations.

Students ask questions and undertake investigations, selecting appropriate technological applications and problem solving strategies. They use mathematical terminology and some conventions and they give valid reasons when comparing and selecting from possible solutions, making connections with existing knowledge and understanding.
Outcome / key ideas NS3.4 Compares, orders and calculates with decimals, simple fractions and simple percentages.

Key Ideas
Model, compare and represent commonly used fractions (those with denominators 2, 3, 4, 5, 6, 8, 10, 12 and 100) Find equivalence between thirds, sixths and twelfths
Express a mixed numeral as an improper fraction and vice versa
Assessment strategy/
Assessment criteria
Assessment strategy:
The teacher:
• observes students completing the task
• listens to students’ explanations
• analyses student work sheet and written explanations

Assessment criteria
:
The student:
• demonstrates understanding of quarters and thirds
• records fractions as equal shares
• explains how the items were shared equally
• uses fraction notation
Work samples and comments

Click here to see the worksamples for this task

 

DOWNLOAD THE SHARING PIKELETS ASSESSMENT PROFORMA

MS WORD MS WORD - 28kb
PDF PDF - 180kb

 

FRACTIONS STAGE 3 ASSESSMENT TASK 2

Strand Number
Substrand Fractions
Stage 3
Year 6
Point-in-time Term 3
Learning experience Selected tasks from Stage 3 programming support collected as the culmination of a unit of work on Fractions
Foundation Statement They (students) compare, order and perform calculations with simple fractions, decimals and percentages and apply the four operations to money in real-life situations.

Students ask questions and undertake investigations, selecting appropriate technological applications and problem solving strategies. They use mathematical terminology and some conventions and they give valid reasons when comparing and selecting from possible solutions, making connections with existing knowledge and understanding.
Outcome / key ideas NS3.4 Compares, orders and calculates with decimals, simple fractions and simple percentages.

Key Ideas

Model, compare and represent commonly used fractions (those with denominators 2, 3, 4, 5, 6, 8, 10, 12 and 100) Find equivalence between thirds, sixths and twelfths
Express a mixed numeral as an improper fraction and vice versa.
Assessment strategy/
Assessment criteria
Assessment strategy:
The teacher:
• analyses student work

Assessment criteria
:
The student:
• orders, compares and represents fractions and decimals on a number line between 0 and 1
• explains and justifies strategies to solve a fraction problem
• applies an appropriate problem solving strategy to a fraction problem
Work samples and comments

Click here to see the worksamples for this task